`189/sqrt(?): 1.89` -

Options

A. 100
B. 1000
C. 10000
D. 100000

Answer

To solve the equation \( \frac{189}{\sqrt{?}} = 1.89 \), we will follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{189}{\sqrt{?}} = 1.89 \]

### Step 2: Isolate the square root
To isolate \( \sqrt{?} \), we can multiply both sides of the equation by \( \sqrt{?} \):
\[ 189 = 1.89 \cdot \sqrt{?} \]

### Step 3: Divide both sides by 1.89
Next, we divide both sides by 1.89 to solve for \( \sqrt{?} \):
\[ \sqrt{?} = \frac{189}{1.89} \]

### Step 4: Simplify the right side
To simplify \( \frac{189}{1.89} \), we can multiply both the numerator and the denominator by 100 to eliminate the decimal:
\[ \sqrt{?} = \frac{189 \times 100}{1.89 \times 100} = \frac{18900}{189} \]

### Step 5: Perform the division
Now we can simplify \( \frac{18900}{189} \):
\[ \sqrt{?} = 100 \]

### Step 6: Square both sides
To find the value of \( ? \), we square both sides:
\[ ? = 100^2 = 10000 \]

### Conclusion
Thus, the value of the question mark is:
\[ ? = 10000 \]

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